Hookes law analysis and evaluation

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Analysis

The results that I have collected have proved very conclusive. From the graphs that have been plotted I have been able to deduce that when a spring is added to the spring in series then the extension increases proportionally, as is proved below:

When the load 1N is added to the springs in series the extension is 0.086 m, however when the load is added to the spring on it’s own the extension is only 0.044 m.

This proves that the equation k = f / x is true. This is because when the load is kept the same but the spring stiffness is doubled then the extension is also doubled.

To work out the spring constant I will need to use the equation:

K = Force or Load / gradient

The spring stiffness is a measure as to how much the string is extended when a load is placed on it. This can be worked out using the equation:

K = F / X

Graph of my results:

The graph that has been plotted (spring stiffness against load) shows that the stiffness of the spring halves when there is single spring but when two are put in series then the stiffness is doubled. It can be seen clearly that the gradient of single spring is almost half of spring in series.

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Also, the graph that has been plotted (spring stiffness against load) shows that the stiffness of the spring halves when there is single spring but when two are put in series then the stiffness is doubled. However, when a single spring is added to two springs in series then the stiffness decreases by a quarter. I have also noticed that the spring stiffness remains the same regardless of the load that is being put onto it. This seems to be a defining characteristic of the springs. The only time that the spring stiffness alters noticeably is when the first ...

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